Positive definite functions and Volterra integral equations

Author:
James S. W. Wong

Journal:
Bull. Amer. Math. Soc. **80** (1974), 679-682

MSC (1970):
Primary 45D05, 45M10; Secondary 35B35, 35B40

DOI:
https://doi.org/10.1090/S0002-9904-1974-13546-9

MathSciNet review:
0341009

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References | Similar Articles | Additional Information

**1.**A. Halanay,*On the asymptotic behavior of the solutions of an integro-differential equation*, J. Math. Anal. Appl. 10 (1965), 319-324. MR 31 #579. MR**176304****2.**K. B. Hannsgen,*On a nonlinear Volterra equation*, Michigan Math. J. 16 (1969), 365-376. MR 40 #3225. MR**249984****3.**J. J. Levin,*The asymptotic behavior of the solution of a Volterra equation*, Proc. Amer. Math. Soc. 14 (1963), 534-541. MR 27 #2824. MR**152852****4.**J. J. Levin,*The qualitative behavior of a nonlinear Volterra equation*, Proc. Amer. Math. Soc. 16 (1965), 711-718. MR 32 #8081. MR**190669****5.**S.-O. London,*On a nonlinear Volterra integral equation*, J. Differential Equations 14 (1973), 106-120. MR**340995****6.**R. C. MacCamy,*Nonlinear Volterra equations on a Hilbert space*, J. Differential Equations (to appear). MR**377605****7.**R. C. MacCamy and J. S. W. Wong,*Stability theorems for some functional equations*, Trans. Amer. Math. Soc. 164 (1972), 1-37. MR 45 #2432. MR**293355****8.**J. S. W. Wong and R. Wong,*Asymptotic solutions of linear Volterra equations with singular kernels*, Trans. Amer. Math. Soc. (to appear). MR**251305****9.**J. S. W. Wong,*The role of positive definite functions in the study of Volterra integral equations*, Proc. USC Conference (to appear). MR**511227****10.**J. S. W. Wong,*A nonlinear integro-partial differential equation arising from viscoelasticity*(to appear).

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DOI:
https://doi.org/10.1090/S0002-9904-1974-13546-9